1211.4737 (Robert S. Whitney)

Thermodynamic and quantum bounds on nonlinear thermoelectric devices    [PDF]

Robert S. Whitney

I consider the non-equilibrium transport of electrons through a quantum system with a thermoelectric response. This system may be any nanostructure or molecule modeled by the nonlinear scattering theory which includes Hartree-like electrostatic interactions exactly and certain dynamic interaction effects (decoherence and relaxation) phenomenologically. I derive three fundamental bounds for such quantum systems coupled to multiple macroscopic reservoirs, one of which may be superconducting. These bounds affect nonlinear heating effects (such as Joule heating), and work and entropy production. Two bounds correspond to the first law and second law of thermodynamics in classical physics. The third bound is quantum (wavelength dependent), and is as important as the thermodynamic ones in limiting the capabilities of mesoscopic heat-engines and refrigerators. The quantum bound also leads to Nernst's unattainability principle that the quantum system cannot cool a reservoir to absolute zero in a finite time, although it can get exponentially close.

View original: http://arxiv.org/abs/1211.4737